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Finding the Fourth Proportional to 6,700.57, 10,047.87 and 3,580.00

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Solution

The fourth proportional to 6,700.57, 10,047.87 and 3,580.00 is: 5,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.57 : 10,047.87 = 3,580.00 : x
  2. Step 2: Convert to fraction form
    6,700.57/10,047.87 = 3,580.00/x
  3. Step 3: Cross multiply
    6,700.57x = 10,047.87 × 3,580.00
  4. Step 4: Simplify right side
    6,700.57x = 35,971,349.48
  5. Step 5: Solve for x
    x = 35,971,349.48/6,700.57
  6. Step 6: Final answer
    x = 5,368.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.